ÿØÿà JFIF    ÿÛ „  ( %"1!%)+...383,7(-.+  -+++--++++---+-+-----+---------------+---+-++7-----ÿÀ  ß â" ÿÄ     ÿÄ H    !1AQaq"‘¡2B±ÁÑð#R“Ò Tbr‚²á3csƒ’ÂñDS¢³$CÿÄ   ÿÄ %  !1AQa"23‘ÿÚ   ? ôÿ ¨pŸªáÿ —åYõõ\?àÒü©ŠÄï¨pŸªáÿ —åYõõ\?àÓü©ŠÄá 0Ÿªáÿ Ÿå[úƒ ú®ði~TÁbqÐ8OÕpÿ ƒOò¤Oè`–RÂáœá™êi€ßÉ< FtŸI“öÌ8úDf´°å}“¾œ6  öFá°y¥jñÇh†ˆ¢ã/ÃÐ:ªcÈ "Y¡ðÑl>ÿ ”ÏËte:qž\oäŠe÷󲍷˜HT4&ÿ ÓÐü6ö®¿øþßèô Ÿ•7Ñi’•j|“ñì>b…þS?*Óôÿ ÓÐü*h¥£ír¶ü UãSç‚Ÿ[AÐaè[ûª•õ&õj?†Éö+EzP—WeÒírJFt ‘BŒ†Ï‡%#tE Øz ¥OÛ«!1›üä±Í™%ºÍãö]°î(–:@<‹ŒÊö×òÆt¦ãº+‡¦%ÌÁ²h´OƒJŒtMÜ>ÀÜÊw3Y´•牋4ǍýʏTì>œú=Íwhyë,¾Ôò×õ¿ßÊa»«þˆѪQ|%6ž™A õ%:øj<>É—ÿ Å_ˆCbõ¥š±ý¯Ýƒï…¶|RëócÍf溪“t.СøTÿ *Ä¿-{†çàczůŽ_–^XþŒ±miB[X±d 1,é”zEù»& î9gœf™9Ð'.;—™i}!ôšåîqêÛ٤ёý£½ÆA–àôe"A$˝Úsäÿ ÷Û #°xŸëí(l »ý3—¥5m! rt`†0~'j2(]S¦¦kv,ÚÇ l¦øJA£Šƒ J3E8ÙiŽ:cÉžúeZ°€¯\®kÖ(79«Ž:¯X”¾³Š&¡* ….‰Ž(ÜíŸ2¥ª‡×Hi²TF¤ò[¨íÈRëÉ䢍mgÑ.Ÿ<öäS0í„ǹÁU´f#Vß;Õ–…P@3ío<ä-±»Ž.L|kªÀê›fÂ6@»eu‚|ÓaÞÆŸ…¨ááå>åŠ?cKü6ùTÍÆ”†sĤÚ;H2RÚ†õ\Ö·Ÿn'¾ ñ#ºI¤Å´%çÁ­‚â7›‹qT3Iï¨ÖÚ5I7Ë!ÅOóŸ¶øÝñØôת¦$Tcö‘[«Ö³šÒ';Aþ ¸èíg A2Z"i¸vdÄ÷.iõ®§)¿]¤À†–‡É&ä{V¶iŽ”.Ó×Õÿ û?h¬Mt–íª[ÿ Ñÿ ÌV(í}=ibÔ¡›¥¢±b Lô¥‡piη_Z<‡z§èŒ)iÖwiÇ 2hÙ3·=’d÷8éŽ1¦¸c¤µ€7›7Ø ð\á)} ¹fËí›pAÃL%âc2 í§æQz¿;T8sæ°qø)QFMð‰XŒÂ±N¢aF¨…8¯!U  Z©RÊ ÖPVÄÀÍin™Ì-GˆªÅËŠ›•zË}º±ŽÍFò¹}Uw×#ä5B¤{î}Ð<ÙD é©¤&‡ïDbàÁôMÁ." ¤‡ú*õ'VŽ|¼´Úgllº¼klz[Æüï÷Aób‡Eÿ dÑ»Xx9ÃÜ£ÁT/`¼¸vI±Ýµ·Ë‚“G³þ*Ÿû´r|*}<¨îºœ @¦mÄ’M¹”.œ«Y–|6ÏU¤jç¥ÕÞqO ˜kDÆÁ¨5ÿ š;Њ¦¦€GÙk \ –Þ=â¼=SͧµªS°ÚÍpÜãQűÀõ¬?ÃÁ1Ñ•õZà?hóœ€ L¦l{Y*K˜Ù›zc˜–ˆâ ø+¾ ­-Ök¥%ùEÜA'}ˆ><ÊIè“bpÍ/qÞâvoX€w,\úªò6Z[XdÒæ­@Ö—€$òJí#é>'°Ú ôª˜<)4ryÙ£|óAÅn5žêŸyÒäMÝ2{"}‰–¤l÷ûWX\l¾Á¸góÉOÔ /óñB¤f¸çñ[.P˜ZsÊË*ßT܈§QN¢’¡¨§V¼(Üù*eÕ“”5T¨‹Âê¥FŒã½Dü[8'Ò¥a…Ú¶k7a *•›¼'Ò·\8¨ª\@\õ¢¦íq+DÙrmÎ…_ªæ»ŠÓœ¡¯’Ré9MÅ×D™lælffc+ŒÑ,ý™ÿ ¯þǤ=Å’Á7µ÷ÚÛ/“Ü€ñýã¼àí¾ÕÑ+ƒ,uµMâÀÄbm:ÒÎPæ{˜Gz[ƒ¯«® KHà`ßØŠéí¯P8Aq.C‰ à€kòpj´kN¶qô€…Õ,ÜNŠª-­{Zö’æû44‰sŽè‰îVíRœÕm" 6?³D9¡ÇTíÅꋇ`4«¸ÝÁô ï’ýorqКÇZ«x4Žâéþuïf¹µö[P ,Q£éaX±`PÉÍZ ¸äYúg üAx ’6Lê‚xÝÓ*äQ  Ï’¨hÍ =²,6ï#rÃ<¯–£»ƒ‹,–ê•€ aÛsñ'%Æ"®ÛüìBᝠHÚ3ß°©$“XnœÖ’î2ËTeûìxîß ¦å¿çÉ ðK§þ{‘t‚Ϋ¬jéîZ[ ”š7L¥4VÚCE×]m¤Øy”ä4-dz£œ§¸x.*ãÊÊ b÷•h:©‡¦s`BTÁRû¾g⻩‹jø sF¢àJøFl‘È•Xᓁà~*j¯ +(ÚÕ6-£¯÷GŠØy‚<Ç’.F‹Hœw(+)ÜÜâÈzÄäT§FߘãÏ;DmVœ3Àu@mÚüXÝü•3B¨òÌÁÛ<·ÃÜ z,Ì@õÅ·d2]ü8s÷IôÞ¯^Ç9¢u„~ëAŸï4«M? 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All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in * the documentation and/or other materials provided with the * distribution. * * 3. All advertising materials mentioning features or use of this * software must display the following acknowledgment: * "This product includes software developed by the OpenSSL Project * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" * * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to * endorse or promote products derived from this software without * prior written permission. For written permission, please contact * openssl-core@openssl.org. * * 5. Products derived from this software may not be called "OpenSSL" * nor may "OpenSSL" appear in their names without prior written * permission of the OpenSSL Project. * * 6. Redistributions of any form whatsoever must retain the following * acknowledgment: * "This product includes software developed by the OpenSSL Project * for use in the OpenSSL Toolkit (http://www.openssl.org/)" * * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED * OF THE POSSIBILITY OF SUCH DAMAGE. * ==================================================================== * * This product includes cryptographic software written by Eric Young * (eay@cryptsoft.com). This product includes software written by Tim * Hudson (tjh@cryptsoft.com). * */ /* ==================================================================== * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. * * Portions of the attached software ("Contribution") are developed by * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. * * The Contribution is licensed pursuant to the OpenSSL open source * license provided above. * * The elliptic curve binary polynomial software is originally written by * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. * */ #ifndef HEADER_EC_H # define HEADER_EC_H # include # ifdef OPENSSL_NO_EC # error EC is disabled. # endif # include # include # ifndef OPENSSL_NO_DEPRECATED # include # endif # ifdef __cplusplus extern "C" { # elif defined(__SUNPRO_C) # if __SUNPRO_C >= 0x520 # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) # endif # endif # ifndef OPENSSL_ECC_MAX_FIELD_BITS # define OPENSSL_ECC_MAX_FIELD_BITS 661 # endif /** Enum for the point conversion form as defined in X9.62 (ECDSA) * for the encoding of a elliptic curve point (x,y) */ typedef enum { /** the point is encoded as z||x, where the octet z specifies * which solution of the quadratic equation y is */ POINT_CONVERSION_COMPRESSED = 2, /** the point is encoded as z||x||y, where z is the octet 0x04 */ POINT_CONVERSION_UNCOMPRESSED = 4, /** the point is encoded as z||x||y, where the octet z specifies * which solution of the quadratic equation y is */ POINT_CONVERSION_HYBRID = 6 } point_conversion_form_t; typedef struct ec_method_st EC_METHOD; typedef struct ec_group_st /*- EC_METHOD *meth; -- field definition -- curve coefficients -- optional generator with associated information (order, cofactor) -- optional extra data (precomputed table for fast computation of multiples of generator) -- ASN1 stuff */ EC_GROUP; typedef struct ec_point_st EC_POINT; /********************************************************************/ /* EC_METHODs for curves over GF(p) */ /********************************************************************/ /** Returns the basic GFp ec methods which provides the basis for the * optimized methods. * \return EC_METHOD object */ const EC_METHOD *EC_GFp_simple_method(void); /** Returns GFp methods using montgomery multiplication. * \return EC_METHOD object */ const EC_METHOD *EC_GFp_mont_method(void); /** Returns GFp methods using optimized methods for NIST recommended curves * \return EC_METHOD object */ const EC_METHOD *EC_GFp_nist_method(void); # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 /** Returns 64-bit optimized methods for nistp224 * \return EC_METHOD object */ const EC_METHOD *EC_GFp_nistp224_method(void); /** Returns 64-bit optimized methods for nistp256 * \return EC_METHOD object */ const EC_METHOD *EC_GFp_nistp256_method(void); /** Returns 64-bit optimized methods for nistp521 * \return EC_METHOD object */ const EC_METHOD *EC_GFp_nistp521_method(void); # endif # ifndef OPENSSL_NO_EC2M /********************************************************************/ /* EC_METHOD for curves over GF(2^m) */ /********************************************************************/ /** Returns the basic GF2m ec method * \return EC_METHOD object */ const EC_METHOD *EC_GF2m_simple_method(void); # endif /********************************************************************/ /* EC_GROUP functions */ /********************************************************************/ /** Creates a new EC_GROUP object * \param meth EC_METHOD to use * \return newly created EC_GROUP object or NULL in case of an error. */ EC_GROUP *EC_GROUP_new(const EC_METHOD *meth); /** Frees a EC_GROUP object * \param group EC_GROUP object to be freed. */ void EC_GROUP_free(EC_GROUP *group); /** Clears and frees a EC_GROUP object * \param group EC_GROUP object to be cleared and freed. */ void EC_GROUP_clear_free(EC_GROUP *group); /** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD. * \param dst destination EC_GROUP object * \param src source EC_GROUP object * \return 1 on success and 0 if an error occurred. */ int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src); /** Creates a new EC_GROUP object and copies the copies the content * form src to the newly created EC_KEY object * \param src source EC_GROUP object * \return newly created EC_GROUP object or NULL in case of an error. */ EC_GROUP *EC_GROUP_dup(const EC_GROUP *src); /** Returns the EC_METHOD of the EC_GROUP object. * \param group EC_GROUP object * \return EC_METHOD used in this EC_GROUP object. */ const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group); /** Returns the field type of the EC_METHOD. * \param meth EC_METHOD object * \return NID of the underlying field type OID. */ int EC_METHOD_get_field_type(const EC_METHOD *meth); /** Sets the generator and it's order/cofactor of a EC_GROUP object. * \param group EC_GROUP object * \param generator EC_POINT object with the generator. * \param order the order of the group generated by the generator. * \param cofactor the index of the sub-group generated by the generator * in the group of all points on the elliptic curve. * \return 1 on success and 0 if an error occured */ int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor); /** Returns the generator of a EC_GROUP object. * \param group EC_GROUP object * \return the currently used generator (possibly NULL). */ const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group); /** Gets the order of a EC_GROUP * \param group EC_GROUP object * \param order BIGNUM to which the order is copied * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx); /** Gets the cofactor of a EC_GROUP * \param group EC_GROUP object * \param cofactor BIGNUM to which the cofactor is copied * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx); /** Sets the name of a EC_GROUP object * \param group EC_GROUP object * \param nid NID of the curve name OID */ void EC_GROUP_set_curve_name(EC_GROUP *group, int nid); /** Returns the curve name of a EC_GROUP object * \param group EC_GROUP object * \return NID of the curve name OID or 0 if not set. */ int EC_GROUP_get_curve_name(const EC_GROUP *group); void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag); int EC_GROUP_get_asn1_flag(const EC_GROUP *group); void EC_GROUP_set_point_conversion_form(EC_GROUP *group, point_conversion_form_t form); point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *); unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x); size_t EC_GROUP_get_seed_len(const EC_GROUP *); size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len); /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b * \param group EC_GROUP object * \param p BIGNUM with the prime number * \param a BIGNUM with parameter a of the equation * \param b BIGNUM with parameter b of the equation * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); /** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b * \param group EC_GROUP object * \param p BIGNUM for the prime number * \param a BIGNUM for parameter a of the equation * \param b BIGNUM for parameter b of the equation * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx); # ifndef OPENSSL_NO_EC2M /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b * \param group EC_GROUP object * \param p BIGNUM with the polynomial defining the underlying field * \param a BIGNUM with parameter a of the equation * \param b BIGNUM with parameter b of the equation * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b * \param group EC_GROUP object * \param p BIGNUM for the polynomial defining the underlying field * \param a BIGNUM for parameter a of the equation * \param b BIGNUM for parameter b of the equation * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx); # endif /** Returns the number of bits needed to represent a field element * \param group EC_GROUP object * \return number of bits needed to represent a field element */ int EC_GROUP_get_degree(const EC_GROUP *group); /** Checks whether the parameter in the EC_GROUP define a valid ec group * \param group EC_GROUP object * \param ctx BN_CTX object (optional) * \return 1 if group is a valid ec group and 0 otherwise */ int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx); /** Checks whether the discriminant of the elliptic curve is zero or not * \param group EC_GROUP object * \param ctx BN_CTX object (optional) * \return 1 if the discriminant is not zero and 0 otherwise */ int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx); /** Compares two EC_GROUP objects * \param a first EC_GROUP object * \param b second EC_GROUP object * \param ctx BN_CTX object (optional) * \return 0 if both groups are equal and 1 otherwise */ int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx); /* * EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() after * choosing an appropriate EC_METHOD */ /** Creates a new EC_GROUP object with the specified parameters defined * over GFp (defined by the equation y^2 = x^3 + a*x + b) * \param p BIGNUM with the prime number * \param a BIGNUM with the parameter a of the equation * \param b BIGNUM with the parameter b of the equation * \param ctx BN_CTX object (optional) * \return newly created EC_GROUP object with the specified parameters */ EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); # ifndef OPENSSL_NO_EC2M /** Creates a new EC_GROUP object with the specified parameters defined * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b) * \param p BIGNUM with the polynomial defining the underlying field * \param a BIGNUM with the parameter a of the equation * \param b BIGNUM with the parameter b of the equation * \param ctx BN_CTX object (optional) * \return newly created EC_GROUP object with the specified parameters */ EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); # endif /** Creates a EC_GROUP object with a curve specified by a NID * \param nid NID of the OID of the curve name * \return newly created EC_GROUP object with specified curve or NULL * if an error occurred */ EC_GROUP *EC_GROUP_new_by_curve_name(int nid); /********************************************************************/ /* handling of internal curves */ /********************************************************************/ typedef struct { int nid; const char *comment; } EC_builtin_curve; /* * EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number of all * available curves or zero if a error occurred. In case r ist not zero * nitems EC_builtin_curve structures are filled with the data of the first * nitems internal groups */ size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems); /********************************************************************/ /* EC_POINT functions */ /********************************************************************/ /** Creates a new EC_POINT object for the specified EC_GROUP * \param group EC_GROUP the underlying EC_GROUP object * \return newly created EC_POINT object or NULL if an error occurred */ EC_POINT *EC_POINT_new(const EC_GROUP *group); /** Frees a EC_POINT object * \param point EC_POINT object to be freed */ void EC_POINT_free(EC_POINT *point); /** Clears and frees a EC_POINT object * \param point EC_POINT object to be cleared and freed */ void EC_POINT_clear_free(EC_POINT *point); /** Copies EC_POINT object * \param dst destination EC_POINT object * \param src source EC_POINT object * \return 1 on success and 0 if an error occured */ int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src); /** Creates a new EC_POINT object and copies the content of the supplied * EC_POINT * \param src source EC_POINT object * \param group underlying the EC_GROUP object * \return newly created EC_POINT object or NULL if an error occurred */ EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group); /** Returns the EC_METHOD used in EC_POINT object * \param point EC_POINT object * \return the EC_METHOD used */ const EC_METHOD *EC_POINT_method_of(const EC_POINT *point); /** Sets a point to infinity (neutral element) * \param group underlying EC_GROUP object * \param point EC_POINT to set to infinity * \return 1 on success and 0 if an error occured */ int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point); /** Sets the jacobian projective coordinates of a EC_POINT over GFp * \param group underlying EC_GROUP object * \param p EC_POINT object * \param x BIGNUM with the x-coordinate * \param y BIGNUM with the y-coordinate * \param z BIGNUM with the z-coordinate * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p, const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx); /** Gets the jacobian projective coordinates of a EC_POINT over GFp * \param group underlying EC_GROUP object * \param p EC_POINT object * \param x BIGNUM for the x-coordinate * \param y BIGNUM for the y-coordinate * \param z BIGNUM for the z-coordinate * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx); /** Sets the affine coordinates of a EC_POINT over GFp * \param group underlying EC_GROUP object * \param p EC_POINT object * \param x BIGNUM with the x-coordinate * \param y BIGNUM with the y-coordinate * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p, const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx); /** Gets the affine coordinates of a EC_POINT over GFp * \param group underlying EC_GROUP object * \param p EC_POINT object * \param x BIGNUM for the x-coordinate * \param y BIGNUM for the y-coordinate * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp * \param group underlying EC_GROUP object * \param p EC_POINT object * \param x BIGNUM with x-coordinate * \param y_bit integer with the y-Bit (either 0 or 1) * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p, const BIGNUM *x, int y_bit, BN_CTX *ctx); # ifndef OPENSSL_NO_EC2M /** Sets the affine coordinates of a EC_POINT over GF2m * \param group underlying EC_GROUP object * \param p EC_POINT object * \param x BIGNUM with the x-coordinate * \param y BIGNUM with the y-coordinate * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p, const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx); /** Gets the affine coordinates of a EC_POINT over GF2m * \param group underlying EC_GROUP object * \param p EC_POINT object * \param x BIGNUM for the x-coordinate * \param y BIGNUM for the y-coordinate * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group, const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m * \param group underlying EC_GROUP object * \param p EC_POINT object * \param x BIGNUM with x-coordinate * \param y_bit integer with the y-Bit (either 0 or 1) * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p, const BIGNUM *x, int y_bit, BN_CTX *ctx); # endif /** Encodes a EC_POINT object to a octet string * \param group underlying EC_GROUP object * \param p EC_POINT object * \param form point conversion form * \param buf memory buffer for the result. If NULL the function returns * required buffer size. * \param len length of the memory buffer * \param ctx BN_CTX object (optional) * \return the length of the encoded octet string or 0 if an error occurred */ size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p, point_conversion_form_t form, unsigned char *buf, size_t len, BN_CTX *ctx); /** Decodes a EC_POINT from a octet string * \param group underlying EC_GROUP object * \param p EC_POINT object * \param buf memory buffer with the encoded ec point * \param len length of the encoded ec point * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p, const unsigned char *buf, size_t len, BN_CTX *ctx); /* other interfaces to point2oct/oct2point: */ BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, BIGNUM *, BN_CTX *); EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *, EC_POINT *, BN_CTX *); char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, BN_CTX *); EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *, EC_POINT *, BN_CTX *); /********************************************************************/ /* functions for doing EC_POINT arithmetic */ /********************************************************************/ /** Computes the sum of two EC_POINT * \param group underlying EC_GROUP object * \param r EC_POINT object for the result (r = a + b) * \param a EC_POINT object with the first summand * \param b EC_POINT object with the second summand * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx); /** Computes the double of a EC_POINT * \param group underlying EC_GROUP object * \param r EC_POINT object for the result (r = 2 * a) * \param a EC_POINT object * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx); /** Computes the inverse of a EC_POINT * \param group underlying EC_GROUP object * \param a EC_POINT object to be inverted (it's used for the result as well) * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx); /** Checks whether the point is the neutral element of the group * \param group the underlying EC_GROUP object * \param p EC_POINT object * \return 1 if the point is the neutral element and 0 otherwise */ int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p); /** Checks whether the point is on the curve * \param group underlying EC_GROUP object * \param point EC_POINT object to check * \param ctx BN_CTX object (optional) * \return 1 if point if on the curve and 0 otherwise */ int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx); /** Compares two EC_POINTs * \param group underlying EC_GROUP object * \param a first EC_POINT object * \param b second EC_POINT object * \param ctx BN_CTX object (optional) * \return 0 if both points are equal and a value != 0 otherwise */ int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx); int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx); int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx); /** Computes r = generator * n sum_{i=0}^{num-1} p[i] * m[i] * \param group underlying EC_GROUP object * \param r EC_POINT object for the result * \param n BIGNUM with the multiplier for the group generator (optional) * \param num number futher summands * \param p array of size num of EC_POINT objects * \param m array of size num of BIGNUM objects * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, size_t num, const EC_POINT *p[], const BIGNUM *m[], BN_CTX *ctx); /** Computes r = generator * n + q * m * \param group underlying EC_GROUP object * \param r EC_POINT object for the result * \param n BIGNUM with the multiplier for the group generator (optional) * \param q EC_POINT object with the first factor of the second summand * \param m BIGNUM with the second factor of the second summand * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx); /** Stores multiples of generator for faster point multiplication * \param group EC_GROUP object * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occured */ int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx); /** Reports whether a precomputation has been done * \param group EC_GROUP object * \return 1 if a pre-computation has been done and 0 otherwise */ int EC_GROUP_have_precompute_mult(const EC_GROUP *group); /********************************************************************/ /* ASN1 stuff */ /********************************************************************/ /* * EC_GROUP_get_basis_type() returns the NID of the basis type used to * represent the field elements */ int EC_GROUP_get_basis_type(const EC_GROUP *); # ifndef OPENSSL_NO_EC2M int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k); int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1, unsigned int *k2, unsigned int *k3); # endif # define OPENSSL_EC_NAMED_CURVE 0x001 typedef struct ecpk_parameters_st ECPKPARAMETERS; EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len); int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out); # define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x) # define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x) # define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \ (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x)) # define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \ (unsigned char *)(x)) # ifndef OPENSSL_NO_BIO int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off); # endif # ifndef OPENSSL_NO_FP_API int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off); # endif /********************************************************************/ /* EC_KEY functions */ /********************************************************************/ typedef struct ec_key_st EC_KEY; /* some values for the encoding_flag */ # define EC_PKEY_NO_PARAMETERS 0x001 # define EC_PKEY_NO_PUBKEY 0x002 /* some values for the flags field */ # define EC_FLAG_NON_FIPS_ALLOW 0x1 # define EC_FLAG_FIPS_CHECKED 0x2 /** Creates a new EC_KEY object. * \return EC_KEY object or NULL if an error occurred. */ EC_KEY *EC_KEY_new(void); int EC_KEY_get_flags(const EC_KEY *key); void EC_KEY_set_flags(EC_KEY *key, int flags); void EC_KEY_clear_flags(EC_KEY *key, int flags); /** Creates a new EC_KEY object using a named curve as underlying * EC_GROUP object. * \param nid NID of the named curve. * \return EC_KEY object or NULL if an error occurred. */ EC_KEY *EC_KEY_new_by_curve_name(int nid); /** Frees a EC_KEY object. * \param key EC_KEY object to be freed. */ void EC_KEY_free(EC_KEY *key); /** Copies a EC_KEY object. * \param dst destination EC_KEY object * \param src src EC_KEY object * \return dst or NULL if an error occurred. */ EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src); /** Creates a new EC_KEY object and copies the content from src to it. * \param src the source EC_KEY object * \return newly created EC_KEY object or NULL if an error occurred. */ EC_KEY *EC_KEY_dup(const EC_KEY *src); /** Increases the internal reference count of a EC_KEY object. * \param key EC_KEY object * \return 1 on success and 0 if an error occurred. */ int EC_KEY_up_ref(EC_KEY *key); /** Returns the EC_GROUP object of a EC_KEY object * \param key EC_KEY object * \return the EC_GROUP object (possibly NULL). */ const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key); /** Sets the EC_GROUP of a EC_KEY object. * \param key EC_KEY object * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY * object will use an own copy of the EC_GROUP). * \return 1 on success and 0 if an error occurred. */ int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group); /** Returns the private key of a EC_KEY object. * \param key EC_KEY object * \return a BIGNUM with the private key (possibly NULL). */ const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key); /** Sets the private key of a EC_KEY object. * \param key EC_KEY object * \param prv BIGNUM with the private key (note: the EC_KEY object * will use an own copy of the BIGNUM). * \return 1 on success and 0 if an error occurred. */ int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv); /** Returns the public key of a EC_KEY object. * \param key the EC_KEY object * \return a EC_POINT object with the public key (possibly NULL) */ const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key); /** Sets the public key of a EC_KEY object. * \param key EC_KEY object * \param pub EC_POINT object with the public key (note: the EC_KEY object * will use an own copy of the EC_POINT object). * \return 1 on success and 0 if an error occurred. */ int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub); unsigned EC_KEY_get_enc_flags(const EC_KEY *key); void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags); point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key); void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform); /* functions to set/get method specific data */ void *EC_KEY_get_key_method_data(EC_KEY *key, void *(*dup_func) (void *), void (*free_func) (void *), void (*clear_free_func) (void *)); /** Sets the key method data of an EC_KEY object, if none has yet been set. * \param key EC_KEY object * \param data opaque data to install. * \param dup_func a function that duplicates |data|. * \param free_func a function that frees |data|. * \param clear_free_func a function that wipes and frees |data|. * \return the previously set data pointer, or NULL if |data| was inserted. */ void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data, void *(*dup_func) (void *), void (*free_func) (void *), void (*clear_free_func) (void *)); /* wrapper functions for the underlying EC_GROUP object */ void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag); /** Creates a table of pre-computed multiples of the generator to * accelerate further EC_KEY operations. * \param key EC_KEY object * \param ctx BN_CTX object (optional) * \return 1 on success and 0 if an error occurred. */ int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx); /** Creates a new ec private (and optional a new public) key. * \param key EC_KEY object * \return 1 on success and 0 if an error occurred. */ int EC_KEY_generate_key(EC_KEY *key); /** Verifies that a private and/or public key is valid. * \param key the EC_KEY object * \return 1 on success and 0 otherwise. */ int EC_KEY_check_key(const EC_KEY *key); /** Sets a public key from affine coordindates performing * neccessary NIST PKV tests. * \param key the EC_KEY object * \param x public key x coordinate * \param y public key y coordinate * \return 1 on success and 0 otherwise. */ int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, BIGNUM *y); /********************************************************************/ /* de- and encoding functions for SEC1 ECPrivateKey */ /********************************************************************/ /** Decodes a private key from a memory buffer. * \param key a pointer to a EC_KEY object which should be used (or NULL) * \param in pointer to memory with the DER encoded private key * \param len length of the DER encoded private key * \return the decoded private key or NULL if an error occurred. */ EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len); /** Encodes a private key object and stores the result in a buffer. * \param key the EC_KEY object to encode * \param out the buffer for the result (if NULL the function returns number * of bytes needed). * \return 1 on success and 0 if an error occurred. */ int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out); /********************************************************************/ /* de- and encoding functions for EC parameters */ /********************************************************************/ /** Decodes ec parameter from a memory buffer. * \param key a pointer to a EC_KEY object which should be used (or NULL) * \param in pointer to memory with the DER encoded ec parameters * \param len length of the DER encoded ec parameters * \return a EC_KEY object with the decoded parameters or NULL if an error * occurred. */ EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len); /** Encodes ec parameter and stores the result in a buffer. * \param key the EC_KEY object with ec paramters to encode * \param out the buffer for the result (if NULL the function returns number * of bytes needed). * \return 1 on success and 0 if an error occurred. */ int i2d_ECParameters(EC_KEY *key, unsigned char **out); /********************************************************************/ /* de- and encoding functions for EC public key */ /* (octet string, not DER -- hence 'o2i' and 'i2o') */ /********************************************************************/ /** Decodes a ec public key from a octet string. * \param key a pointer to a EC_KEY object which should be used * \param in memory buffer with the encoded public key * \param len length of the encoded public key * \return EC_KEY object with decoded public key or NULL if an error * occurred. */ EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len); /** Encodes a ec public key in an octet string. * \param key the EC_KEY object with the public key * \param out the buffer for the result (if NULL the function returns number * of bytes needed). * \return 1 on success and 0 if an error occurred */ int i2o_ECPublicKey(EC_KEY *key, unsigned char **out); # ifndef OPENSSL_NO_BIO /** Prints out the ec parameters on human readable form. * \param bp BIO object to which the information is printed * \param key EC_KEY object * \return 1 on success and 0 if an error occurred */ int ECParameters_print(BIO *bp, const EC_KEY *key); /** Prints out the contents of a EC_KEY object * \param bp BIO object to which the information is printed * \param key EC_KEY object * \param off line offset * \return 1 on success and 0 if an error occurred */ int EC_KEY_print(BIO *bp, const EC_KEY *key, int off); # endif # ifndef OPENSSL_NO_FP_API /** Prints out the ec parameters on human readable form. * \param fp file descriptor to which the information is printed * \param key EC_KEY object * \return 1 on success and 0 if an error occurred */ int ECParameters_print_fp(FILE *fp, const EC_KEY *key); /** Prints out the contents of a EC_KEY object * \param fp file descriptor to which the information is printed * \param key EC_KEY object * \param off line offset * \return 1 on success and 0 if an error occurred */ int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off); # endif # define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x) # ifndef __cplusplus # if defined(__SUNPRO_C) # if __SUNPRO_C >= 0x520 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) # endif # endif # endif # define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \ EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \ EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL) # define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1) /* BEGIN ERROR CODES */ /* * The following lines are auto generated by the script mkerr.pl. Any changes * made after this point may be overwritten when the script is next run. */ void ERR_load_EC_strings(void); /* Error codes for the EC functions. */ /* Function codes. */ # define EC_F_BN_TO_FELEM 224 # define EC_F_COMPUTE_WNAF 143 # define EC_F_D2I_ECPARAMETERS 144 # define EC_F_D2I_ECPKPARAMETERS 145 # define EC_F_D2I_ECPRIVATEKEY 146 # define EC_F_DO_EC_KEY_PRINT 221 # define EC_F_ECKEY_PARAM2TYPE 223 # define EC_F_ECKEY_PARAM_DECODE 212 # define EC_F_ECKEY_PRIV_DECODE 213 # define EC_F_ECKEY_PRIV_ENCODE 214 # define EC_F_ECKEY_PUB_DECODE 215 # define EC_F_ECKEY_PUB_ENCODE 216 # define EC_F_ECKEY_TYPE2PARAM 220 # define EC_F_ECPARAMETERS_PRINT 147 # define EC_F_ECPARAMETERS_PRINT_FP 148 # define EC_F_ECPKPARAMETERS_PRINT 149 # define EC_F_ECPKPARAMETERS_PRINT_FP 150 # define EC_F_ECP_NIST_MOD_192 203 # define EC_F_ECP_NIST_MOD_224 204 # define EC_F_ECP_NIST_MOD_256 205 # define EC_F_ECP_NIST_MOD_521 206 # define EC_F_EC_ASN1_GROUP2CURVE 153 # define EC_F_EC_ASN1_GROUP2FIELDID 154 # define EC_F_EC_ASN1_GROUP2PARAMETERS 155 # define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156 # define EC_F_EC_ASN1_PARAMETERS2GROUP 157 # define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158 # define EC_F_EC_EX_DATA_SET_DATA 211 # define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208 # define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159 # define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195 # define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160 # define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161 # define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162 # define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163 # define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164 # define EC_F_EC_GFP_MONT_FIELD_DECODE 133 # define EC_F_EC_GFP_MONT_FIELD_ENCODE 134 # define EC_F_EC_GFP_MONT_FIELD_MUL 131 # define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209 # define EC_F_EC_GFP_MONT_FIELD_SQR 132 # define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189 # define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135 # define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE 225 # define EC_F_EC_GFP_NISTP224_POINTS_MUL 228 # define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226 # define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230 # define EC_F_EC_GFP_NISTP256_POINTS_MUL 231 # define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232 # define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233 # define EC_F_EC_GFP_NISTP521_POINTS_MUL 234 # define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235 # define EC_F_EC_GFP_NIST_FIELD_MUL 200 # define EC_F_EC_GFP_NIST_FIELD_SQR 201 # define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202 # define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101 # define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102 # define EC_F_EC_GFP_SIMPLE_OCT2POINT 103 # define EC_F_EC_GFP_SIMPLE_POINT2OCT 104 # define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137 # define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167 # define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105 # define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168 # define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128 # define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169 # define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129 # define EC_F_EC_GROUP_CHECK 170 # define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171 # define EC_F_EC_GROUP_COPY 106 # define EC_F_EC_GROUP_GET0_GENERATOR 139 # define EC_F_EC_GROUP_GET_COFACTOR 140 # define EC_F_EC_GROUP_GET_CURVE_GF2M 172 # define EC_F_EC_GROUP_GET_CURVE_GFP 130 # define EC_F_EC_GROUP_GET_DEGREE 173 # define EC_F_EC_GROUP_GET_ORDER 141 # define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193 # define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194 # define EC_F_EC_GROUP_NEW 108 # define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174 # define EC_F_EC_GROUP_NEW_FROM_DATA 175 # define EC_F_EC_GROUP_PRECOMPUTE_MULT 142 # define EC_F_EC_GROUP_SET_CURVE_GF2M 176 # define EC_F_EC_GROUP_SET_CURVE_GFP 109 # define EC_F_EC_GROUP_SET_EXTRA_DATA 110 # define EC_F_EC_GROUP_SET_GENERATOR 111 # define EC_F_EC_KEY_CHECK_KEY 177 # define EC_F_EC_KEY_COPY 178 # define EC_F_EC_KEY_GENERATE_KEY 179 # define EC_F_EC_KEY_NEW 182 # define EC_F_EC_KEY_PRINT 180 # define EC_F_EC_KEY_PRINT_FP 181 # define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229 # define EC_F_EC_POINTS_MAKE_AFFINE 136 # define EC_F_EC_POINT_ADD 112 # define EC_F_EC_POINT_CMP 113 # define EC_F_EC_POINT_COPY 114 # define EC_F_EC_POINT_DBL 115 # define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183 # define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116 # define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117 # define EC_F_EC_POINT_INVERT 210 # define EC_F_EC_POINT_IS_AT_INFINITY 118 # define EC_F_EC_POINT_IS_ON_CURVE 119 # define EC_F_EC_POINT_MAKE_AFFINE 120 # define EC_F_EC_POINT_MUL 184 # define EC_F_EC_POINT_NEW 121 # define EC_F_EC_POINT_OCT2POINT 122 # define EC_F_EC_POINT_POINT2OCT 123 # define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185 # define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124 # define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186 # define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125 # define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126 # define EC_F_EC_POINT_SET_TO_INFINITY 127 # define EC_F_EC_PRE_COMP_DUP 207 # define EC_F_EC_PRE_COMP_NEW 196 # define EC_F_EC_WNAF_MUL 187 # define EC_F_EC_WNAF_PRECOMPUTE_MULT 188 # define EC_F_I2D_ECPARAMETERS 190 # define EC_F_I2D_ECPKPARAMETERS 191 # define EC_F_I2D_ECPRIVATEKEY 192 # define EC_F_I2O_ECPUBLICKEY 151 # define EC_F_NISTP224_PRE_COMP_NEW 227 # define EC_F_NISTP256_PRE_COMP_NEW 236 # define EC_F_NISTP521_PRE_COMP_NEW 237 # define EC_F_O2I_ECPUBLICKEY 152 # define EC_F_OLD_EC_PRIV_DECODE 222 # define EC_F_PKEY_EC_CTRL 197 # define EC_F_PKEY_EC_CTRL_STR 198 # define EC_F_PKEY_EC_DERIVE 217 # define EC_F_PKEY_EC_KEYGEN 199 # define EC_F_PKEY_EC_PARAMGEN 219 # define EC_F_PKEY_EC_SIGN 218 /* Reason codes. */ # define EC_R_ASN1_ERROR 115 # define EC_R_ASN1_UNKNOWN_FIELD 116 # define EC_R_BIGNUM_OUT_OF_RANGE 144 # define EC_R_BUFFER_TOO_SMALL 100 # define EC_R_COORDINATES_OUT_OF_RANGE 146 # define EC_R_D2I_ECPKPARAMETERS_FAILURE 117 # define EC_R_DECODE_ERROR 142 # define EC_R_DISCRIMINANT_IS_ZERO 118 # define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119 # define EC_R_FIELD_TOO_LARGE 143 # define EC_R_GF2M_NOT_SUPPORTED 147 # define EC_R_GROUP2PKPARAMETERS_FAILURE 120 # define EC_R_I2D_ECPKPARAMETERS_FAILURE 121 # define EC_R_INCOMPATIBLE_OBJECTS 101 # define EC_R_INVALID_ARGUMENT 112 # define EC_R_INVALID_COMPRESSED_POINT 110 # define EC_R_INVALID_COMPRESSION_BIT 109 # define EC_R_INVALID_CURVE 141 # define EC_R_INVALID_DIGEST_TYPE 138 # define EC_R_INVALID_ENCODING 102 # define EC_R_INVALID_FIELD 103 # define EC_R_INVALID_FORM 104 # define EC_R_INVALID_GROUP_ORDER 122 # define EC_R_INVALID_PENTANOMIAL_BASIS 132 # define EC_R_INVALID_PRIVATE_KEY 123 # define EC_R_INVALID_TRINOMIAL_BASIS 137 # define EC_R_KEYS_NOT_SET 140 # define EC_R_MISSING_PARAMETERS 124 # define EC_R_MISSING_PRIVATE_KEY 125 # define EC_R_NOT_A_NIST_PRIME 135 # define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136 # define EC_R_NOT_IMPLEMENTED 126 # define EC_R_NOT_INITIALIZED 111 # define EC_R_NO_FIELD_MOD 133 # define EC_R_NO_PARAMETERS_SET 139 # define EC_R_PASSED_NULL_PARAMETER 134 # define EC_R_PKPARAMETERS2GROUP_FAILURE 127 # define EC_R_POINT_AT_INFINITY 106 # define EC_R_POINT_IS_NOT_ON_CURVE 107 # define EC_R_SLOT_FULL 108 # define EC_R_UNDEFINED_GENERATOR 113 # define EC_R_UNDEFINED_ORDER 128 # define EC_R_UNKNOWN_GROUP 129 # define EC_R_UNKNOWN_ORDER 114 # define EC_R_UNSUPPORTED_FIELD 131 # define EC_R_WRONG_CURVE_PARAMETERS 145 # define EC_R_WRONG_ORDER 130 #ifdef __cplusplus } #endif #endif